(x(x-4))=96

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Solution for (x(x-4))=96 equation:


Simplifying
(x(x + -4)) = 96

Reorder the terms:
(x(-4 + x)) = 96
((-4 * x + x * x)) = 96
((-4x + x2)) = 96
(-4x + x2) = 96

Remove parenthesis around (-4x + x2)
-4x + x2 = 96

Solving
-4x + x2 = 96

Solving for variable 'x'.

Reorder the terms:
-96 + -4x + x2 = 96 + -96

Combine like terms: 96 + -96 = 0
-96 + -4x + x2 = 0

Factor a trinomial.
(-8 + -1x)(12 + -1x) = 0

Subproblem 1

Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8

Subproblem 2

Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12

Solution

x = {-8, 12}

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